The generator matrix

 1  1  1  1  1  1  1  1  0 2X+2 2X  1  1  1  1  X  X  X  1
 0  X  0  X 2X 3X  0  X  X  X 2X+2 2X+2 X+2 2X+2 X+2 X+2 3X 3X  0
 0  0  X  X 2X+2 3X+2 3X+2 2X+2 2X 3X  X 3X+2  0 2X+2  X 3X  X 3X+2 2X

generates a code of length 19 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+31x^16+182x^17+171x^18+310x^19+138x^20+114x^21+36x^22+34x^23+6x^24+1x^26

The gray image is a code over GF(2) with n=152, k=10 and d=64.
This code was found by Heurico 1.16 in 0.016 seconds.